Verified answer

(x^-5 / x^-10) ^-8 = (1/x^-5)^-8 = 1/x^40

True

true. X^ -5 / x^ -10 = 1 / x^5 * x^10 = x^10 / x^5 = X^5 final. x^5 ^ -8 = 1/ x^40

(x^-5 / x^-10) ^-8 = (x^-5 * x^10) ^-8 = (x^5) ^-8 = x^(-40) = 1/ x^40

true

x^-5 = 1 / x^5

1 / x^-10 = x^10

x^10 / x^5 = x^5

(x^5) ^ -8 = 1 / (x^5)^8 = 1 / x^40

So true.

True , unless x=0 (then there is trouble ... )